Question

From the following observations, calculate the density and relative density of a brine solution.

Mass of empty density bottle = 22 g

Mass of bottle + water = 50 g

Mass of bottle + brine solution = 54 g

Answer 1

Mass of empty bottle, M₁ = 22 g

Mass of bottle + water, M₂ = 50 g

Mass of bottle + brine solution, M₃ = 54 g

Mass of water = M₂ - M₁ =50 - 22 = 28 g

Mass of brine solution = M₃ - M₁ = 54 - 22 = 32 g

∴ Density of brine solution `= "Mass of brine solution"/"Mass of water"`

`= (32 " g")/(28 "cm"^3)`

= 1.14 g cm^-3

∴ Relative density of brine solution = `("M"_3 - "M"_1)/("M"_2 - "M"_1)`

`= (54 - 22)/(50 - 22)`

`= 32/28`

= 1.14